Difference between revisions of "Manuals/calci/COS"
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| − | <div style="font-size:30px">'''COS( | + | <div style="font-size:30px">'''COS(Number)'''</div><br/> |
| − | '''</div><br/> | + | * Number is the angle value in Radians |
| − | * | + | * by default Calci use Radian as angle. |
| − | * by default Calci use Radian as angle | + | **COS() returns the cosine of the given angle |
[[Manuals/calci/DCOS | DCOS]] can be used if the angle is in degrees. | [[Manuals/calci/DCOS | DCOS]] can be used if the angle is in degrees. | ||
| Line 8: | Line 8: | ||
The angle can be a single value or any complex array of values. | The angle can be a single value or any complex array of values. | ||
| − | For example COS(1..100) can give an array of the results, which is the COS value for each of the elements in the array. The array could be of any | + | For example COS(1..100) can give an array of the results, which is the COS value for each of the elements in the array. |
| + | *The array could be of any values either '+' or '-' like 1..5@COS or (-5)..(-1)@COS. | ||
==Description== | ==Description== | ||
| − | Consider ''' | + | Consider '''x = 60''' then '''=COS(RADIANS(60))''' gives '''0.5000000000000001''' that is approximate to '''0.5'''<br/> |
| − | * COS function determines the | + | The above function gives the Cosine of 'x' in Degree.<br/> |
| + | *In a right angled triangle, '''COS = Adjacent side / Hypotenuse'''.<br/> | ||
| + | *COS function determines the Cosine of the given angle. | ||
| + | *By default, Calci takes the angle in Radians. | ||
| + | *To convert Radians to Degrees multiply with 180/PI() or we have to use the Radians function COS(RADIANS(x)) or DCOS(x).<br/> | ||
| + | *COS(RADIANS(90))= 6.123031769111886e-17 ie, approximately = 0. So for calculation we consider COS(RADIANS(90))=0 | ||
| + | |||
| + | The following example shows how COS is applied to an array of numbers containing Angles 1..10. | ||
| + | |||
| + | 1..10@COS | ||
| + | |||
| + | {| class="wikitable" | ||
| + | |- | ||
| + | ! Angles !! COS | ||
| + | |- | ||
| + | | 1 || 0.54030230586 | ||
| + | |- | ||
| + | | 2 || -0.41614683654 | ||
| + | |- | ||
| + | | 3 || -0.9899924966 | ||
| + | |- | ||
| + | | 4 || -0.65364362086 | ||
| + | |- | ||
| + | | 5 || 0.28366218546 | ||
| + | |- | ||
| + | | 6 || 0.96017028665 | ||
| + | |- | ||
| + | | 7 || 0.75390225434 | ||
| + | |- | ||
| + | | 8 || -0.1455000338 | ||
| + | |- | ||
| + | | 9 || -0.91113026188 | ||
| + | |- | ||
| + | | 10 || -0.83907152907 | ||
| + | |} | ||
| + | |||
| + | |||
| + | |||
== Examples == | == Examples == | ||
| − | '''COS( | + | '''COS(x)''' |
| − | *''' | + | *'''x ''' is the angle in radians. |
{|id="TABLE1" class="SpreadSheet blue" | {|id="TABLE1" class="SpreadSheet blue" | ||
| Line 26: | Line 64: | ||
|- class="odd" | |- class="odd" | ||
| COS(0) | | COS(0) | ||
| − | | | + | | 1 |
|- class="even" | |- class="even" | ||
| COS(1) | | COS(1) | ||
| − | | 0. | + | | 0.54030230586 |
|- class="odd" | |- class="odd" | ||
|COS(90) | |COS(90) | ||
| − | |-0.44807361612 | + | | -0.44807361612 |
|} | |} | ||
| + | |||
| + | *1..100@["z^2",SIN,COS] will display the Square value, Sin and Cos value from 1 to 100. | ||
| + | |||
| + | |||
| + | ==Related Videos== | ||
| + | |||
| + | {{#ev:youtube|Jsiy4TxgIME|280|center|Cosine}} | ||
| + | |||
| + | ==See Also== | ||
| + | |||
| + | *[[Manuals/calci/DCOS | DCOS]] | ||
| + | |||
| + | *[[Manuals/calci/ACOS | ACOS]] | ||
| + | |||
| + | *[[Manuals/calci/COSH | COSH]] | ||
| + | |||
| + | ==References== | ||
| + | |||
| + | *[http://en.wikipedia.org/wiki/Trigonometric_functions List of Trigonometric Functions] | ||
| + | |||
| + | |||
| + | |||
| + | *[[Z_API_Functions | List of Main Z Functions]] | ||
| + | |||
| + | *[[ Z3 | Z3 home ]] | ||
Latest revision as of 00:47, 12 February 2020
COS(Number)
- Number is the angle value in Radians
- by default Calci use Radian as angle.
- COS() returns the cosine of the given angle
DCOS can be used if the angle is in degrees.
The angle can be a single value or any complex array of values.
For example COS(1..100) can give an array of the results, which is the COS value for each of the elements in the array.
- The array could be of any values either '+' or '-' like 1..5@COS or (-5)..(-1)@COS.
Description
Consider x = 60 then =COS(RADIANS(60)) gives 0.5000000000000001 that is approximate to 0.5
The above function gives the Cosine of 'x' in Degree.
- In a right angled triangle, COS = Adjacent side / Hypotenuse.
- COS function determines the Cosine of the given angle.
- By default, Calci takes the angle in Radians.
- To convert Radians to Degrees multiply with 180/PI() or we have to use the Radians function COS(RADIANS(x)) or DCOS(x).
- COS(RADIANS(90))= 6.123031769111886e-17 ie, approximately = 0. So for calculation we consider COS(RADIANS(90))=0
The following example shows how COS is applied to an array of numbers containing Angles 1..10.
1..10@COS
| Angles | COS |
|---|---|
| 1 | 0.54030230586 |
| 2 | -0.41614683654 |
| 3 | -0.9899924966 |
| 4 | -0.65364362086 |
| 5 | 0.28366218546 |
| 6 | 0.96017028665 |
| 7 | 0.75390225434 |
| 8 | -0.1455000338 |
| 9 | -0.91113026188 |
| 10 | -0.83907152907 |
Examples
COS(x)
- x is the angle in radians.
| COS(Radian) | Value |
| COS(0) | 1 |
| COS(1) | 0.54030230586 |
| COS(90) | -0.44807361612 |
- 1..100@["z^2",SIN,COS] will display the Square value, Sin and Cos value from 1 to 100.
Related Videos
See Also
References